Gaussian processes, kinematic formulae and Poincare's limit
Topic
The main aim of this talk will be to prove the specific result that the
mean invariant measures of the excursion sets f^{-1}(D) of the
vector-valued isotropic Gaussian process f on the n-sphere have a
specific form, highly reminiscent of the Kinematic Fundamental Formula
of classical Euclidean Integral Geometry.
I will also explain why this very special result has broad implications for other smooth Gaussian and related processes on far more general parameter spaces, and what some of their applications are.
This is joint work with Jonathan Taylor.
I will also explain why this very special result has broad implications for other smooth Gaussian and related processes on far more general parameter spaces, and what some of their applications are.
This is joint work with Jonathan Taylor.
Speakers
Additional Information
Probability Seminar 2006
Robert Adler (Technion - Israel Institute of Technology)
Robert Adler (Technion - Israel Institute of Technology)